Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

1. \(\frac{5}{13} : \frac{10}{3}\)
2. \(\frac{5}{12} : \frac{4}{2}\)
3. \(\frac{11}{6} : \frac{5}{15}\)
4. \(\frac{3}{4} : \frac{6}{4}\)
5. \(\frac{12}{7} : \frac{3}{2}\)
6. \(\frac{6}{11} : \frac{4}{11}\)
7. \(\frac{9}{9} : \frac{9}{4}\)
8. \(\frac{11}{7} : \frac{9}{2}\)
9. \(\frac{5}{14} : \frac{8}{3}\)
10. \(\frac{12}{14} : \frac{3}{2}\)
11. \(\frac{10}{6} : \frac{12}{6}\)
12. \(\frac{8}{2} : \frac{2}{7}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{5}{13} : \frac{10}{3}\\=\frac{5}{13} . \frac{3}{10}\\=\frac{5.3}{13.10}\\=\frac{15}{130}\\=\frac{3}{26}\)
2. \(\frac{5}{12} : \frac{4}{2}\\=\frac{5}{12} : \frac{2}{1}\\=\frac{5}{12} . \frac{1}{2}\\=\frac{5.1}{12.2}\\=\frac{5}{24}\)
3. \(\frac{11}{6} : \frac{5}{15}\\=\frac{11}{6} : \frac{1}{3}\\=\frac{11}{6} . \frac{3}{1}\\=\frac{11.3}{6.1}\\=\frac{33}{6}\\=\frac{11}{2}\)
4. \(\frac{3}{4} : \frac{6}{4}\\=\frac{3}{4} : \frac{3}{2}\\=\frac{3}{4} . \frac{2}{3}\\=\frac{3.2}{4.3}\\=\frac{6}{12}\\=\frac{1}{2}\)
5. \(\frac{12}{7} : \frac{3}{2}\\=\frac{12}{7} . \frac{2}{3}\\=\frac{12.2}{7.3}\\=\frac{24}{21}\\=\frac{8}{7}\)
6. \(\frac{6}{11} : \frac{4}{11}\\=\frac{6}{11} . \frac{11}{4}\\=\frac{6.11}{11.4}\\=\frac{66}{44}\\=\frac{3}{2}\)
7. \(\frac{9}{9} : \frac{9}{4}\\=\frac{1}{1} : \frac{9}{4}\\=\frac{1}{1} . \frac{4}{9}\\=\frac{1.4}{1.9}\\=\frac{4}{9}\)
8. \(\frac{11}{7} : \frac{9}{2}\\=\frac{11}{7} . \frac{2}{9}\\=\frac{11.2}{7.9}\\=\frac{22}{63}\)
9. \(\frac{5}{14} : \frac{8}{3}\\=\frac{5}{14} . \frac{3}{8}\\=\frac{5.3}{14.8}\\=\frac{15}{112}\)
10. \(\frac{12}{14} : \frac{3}{2}\\=\frac{6}{7} : \frac{3}{2}\\=\frac{6}{7} . \frac{2}{3}\\=\frac{6.2}{7.3}\\=\frac{12}{21}\\=\frac{4}{7}\)
11. \(\frac{10}{6} : \frac{12}{6}\\=\frac{5}{3} : \frac{2}{1}\\=\frac{5}{3} . \frac{1}{2}\\=\frac{5.1}{3.2}\\=\frac{5}{6}\)
12. \(\frac{8}{2} : \frac{2}{7}\\=\frac{4}{1} : \frac{2}{7}\\=\frac{4}{1} . \frac{7}{2}\\=\frac{4.7}{1.2}\\=\frac{28}{2}\\=\frac{14}{1}= 14\)